From 33617bf29ed0cd712edac17ea3395980cf3c3898 Mon Sep 17 00:00:00 2001
From: Ricardo Fabbri <rfabbri@gmail.com>
Date: Fri, 14 Jun 2024 05:08:09 -0700
Subject: [PATCH]  furthered simple example hand-matched to C++

---
 minus/chicago14a.hxx |  2 +-
 tutorial/README.md   |  6 ++++--
 tutorial/ex-start.m2 | 20 +++++++++++++++++++-
 3 files changed, 24 insertions(+), 4 deletions(-)

diff --git a/minus/chicago14a.hxx b/minus/chicago14a.hxx
index 4790e63..ef37015 100644
--- a/minus/chicago14a.hxx
+++ b/minus/chicago14a.hxx
@@ -14,7 +14,7 @@ struct eval<chicago14a, F> {
 };
 
 #include "chicago14a-Hxt.hxx"
-#include "chicago14a-HxH.hxx"
+#include "chicago14a-HxH-tst2.hxx"
 
 // Problem and Formulation Paramers --------------------------------------------
 
diff --git a/tutorial/README.md b/tutorial/README.md
index db560b8..0ef1b4a 100644
--- a/tutorial/README.md
+++ b/tutorial/README.md
@@ -12,8 +12,10 @@ C = {
 
 ## Evaluate to check equation
 - How can we evaluate the the equations on the system?
-evaluate(F,x0||p0) only for F gatematrix, but we ony have gateSystem in Ex, not
-gatematrix.
+
+    - evaluate(F,x0||p0) only for F gatematrix, 
+    - but we ony have gateSystem in Ex, not gatematrix. 
+    - gateSystem is >= M2 1.14, whats the corresponding eval fn?
 
 Usually one creates gateSystem from Gatematrix:
 GS = gateSystem(GS)
diff --git a/tutorial/ex-start.m2 b/tutorial/ex-start.m2
index a49d368..6096ee1 100644
--- a/tutorial/ex-start.m2
+++ b/tutorial/ex-start.m2
@@ -28,7 +28,25 @@ cameraVars = flatten entries vars GS
 PH = parametricSegmentHomotopy GS
 
 -- Pro only --------------------------------------------------------------------
--- setDefault(CorrectorTolerance=>1e-8)
+
+-- SET TRACKER OPTIONS HERE
+-- null indicates default value 
+scan({CorrectorTolerance=>1e-4,
+	EndZoneFactor=>2e-1,
+	InfinityThreshold => 1e6, 
+	maxCorrSteps => 3, 
+	NoOutput => true,
+	numberSuccessesBeforeIncrease => 2,
+	Precision => null,
+	Predictor => RungeKutta4,
+	stepIncreaseFactor => 2,
+	tStep => 5e-2,
+	tStepMin => 1e-5
+	}, 
+    opt -> setDefault(opt))
+
+setDefault(CorrectorTolerance=>1e-8)
+
 
 -------------------------------------------------------------------------------